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Finding the Third Proportional to 617,976 and 954,962.25

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Solution

The third proportional to 617,976 and 954,962.25 is: 1,475,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,976 : 954,962.25 = 954,962.25 : x
  2. Step 2: Convert to fraction form
    617,976/954,962.25 = 954,962.25/x
  3. Step 3: Cross multiply
    617,976x = 954,962.25 × 954,962.25
  4. Step 4: Simplify right side
    617,976x = 911,952,898,925.06
  5. Step 5: Solve for x
    x = 911,952,898,925.06/617,976
  6. Step 6: Final answer
    x = 1,475,709.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.